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      Question

      In a company, 60% of the number of girls is equal to two -

      third of the total number of boys. When 40 new girls joined the company, then 25% of the number of girls became one - third of the number of boys. Before joining the new girl, what was the total strength (boys and girls) of the company?
      A 570 Correct Answer Incorrect Answer
      B 420 Correct Answer Incorrect Answer
      C 400 Correct Answer Incorrect Answer
      D 380 Correct Answer Incorrect Answer
      E 560 Correct Answer Incorrect Answer

      Solution

      In the company, let the number of girls be g and the number of boys be b
      Then, 60% of g = 2b/3
      3g/5 = 2b/3
      9g = 10b
      b/g = 9/10
      Let b be 9a, then g = 10a
      After going 40 new girls, 25% of (10a + 40) = 1*9a/3 = 3a
      3a - 2.5a = 10
      0.5a = 10
      a = 20
      Before joining the new girls, the strength of the company = 9a + 10a = 19a = 380

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